JACKSONVILLE, FL - DECEMBER 23: Tom Brady #12 of the New England Patriots looks on during a game against the Jacksonville Jaguars at EverBank Field on December 23, 2012 in Jacksonville, Florida. (Photo by Mike Ehrmann/Getty Images)Tom Brady (Photo by Mike Ehrmann/Getty Images)

BOSTON (CBS) — The Patriots won on Sunday, but for a team with Super Bowl aspirations, a narrow victory against the league’s worst team is hardly reason for celebration.

“I’m proud of the way that we responded but at the same time at the end of the day, it won’t be good enough. Plain and simple,” Vince Wilfork said of his team’s performance.

The Patriots dug themselves an early hole, with Tom Brady throwing two interceptions as the Jaguars opened up leads of 10-0 and 13-3 in the first half. Though Brady and the rest of the team bounced back to tie the game before halftime, the quarterback said it was a position the team didn’t earn.

“We played pretty terrible out there,” said a visibly upset Brady, who finished with 267 yards, two touchdowns and two interceptions. “It came down to the wire and our defense made some plays. That was a bad 60 minutes of football. We got out-competed out there, out-fought, and we were lucky to win.”

The slow start bewildered most fans, and it even left Wilfork without an explanation.

“I don’t know if we were flat or what, but it showed that we weren’t ready to go right away,” Wilfork said. “When that happens, we really have to buckle down and play football. I think sometimes we did, sometimes we didn’t.”

Brady, who won his 11th game in a season for the eighth time of his career, appeared more disappointed after this win than he sometimes looks after losses.

“We just didn’t play well. We didn’t’ compete,” Brady said. “Execution was terrible. It was easy to see. We didn’t do anything.”

While fans and analysts are sure to express their doubts about the Patriots going forward, Brady admitted that he himself shares similar concerns.

“Sure. Yeah. You get very concerned when you don’t play well,” Brady said. “That’s very evident by the way we performed. We better have a good week of practice, or else it’s going to be just as tough against Miami.”